Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30100c |
Isogeny class |
Conductor |
30100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-161787500000000 = -1 · 28 · 511 · 7 · 432 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -5 -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15533,-959063] |
[a1,a2,a3,a4,a6] |
Generators |
[2026:26875:8] |
Generators of the group modulo torsion |
j |
-103623368704/40446875 |
j-invariant |
L |
2.8200996511179 |
L(r)(E,1)/r! |
Ω |
0.20976889519961 |
Real period |
R |
1.6804801114784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400bk1 6020a1 |
Quadratic twists by: -4 5 |